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ESE : Control Systems Champion Quiz 4

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Question 1

Which one of the following statements is not correct?

Question 2

Consider the root loci plots:
1)

2)

3)

4)


Which one of the above plots is not correct?

Question 3

The angle between two adjacent asymptotes in a root locus diagram is

Question 4

Consider the following statements regarding root loci plot:
1) When gain K is zero, the roots coincide with the poles.
2) When K is increased, the roots move away from the poles.
3) A root locus diagram is always symmetric about the imaginary axis.
4) The number of branches terminates on infinity is open loop poles plus zeros.

Question 5

Root locus of s(s + 2) + K(s + 4) = 0 is a circle.
What are the co-ordinates of the centre of this circle?

Question 6

Which one of the following is correct?
The value of the system gain at any point on a root locus can be obtained as a

Question 7

Consider the following statements made on the basis of root locus analysis:
1) The intersection of asymptotes must always be on the real axis.
2) The asymptotes of root loci refer to the angle of root loci when gain K is zero.
Which of the statements given above is/are correct?

Question 8

Assertion (A): Adding a pole to the open-loop transfer function G(s) H(s) has the effect of pushing the root loci towards the R.H.S. in s-plane.
Reason (R): If the number of poles increases the angle of asymptotes for the complex roots is reduced.

Question 9

Consider the following statements in connection with the addition of a pole to the forward path transfer function:
1) Closed-loop system becomes less stable.
2) Rise time of the system increases.
3) Bandwidth of the system increases.
Which of the statements given above are correct?

Question 10

What is the open-loop transfer function for a unity feedback having root locus shown in the following figure?
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May 8ESE & GATE EC